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Finding the Fourth Proportional to 218.20, 300.88 and 187.23

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Solution

The fourth proportional to 218.20, 300.88 and 187.23 is: 258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.20 : 300.88 = 187.23 : x
  2. Step 2: Convert to fraction form
    218.20/300.88 = 187.23/x
  3. Step 3: Cross multiply
    218.20x = 300.88 × 187.23
  4. Step 4: Simplify right side
    218.20x = 56,333.76
  5. Step 5: Solve for x
    x = 56,333.76/218.20
  6. Step 6: Final answer
    x = 258.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.